SOLUTION: Ok, last one for me today. ^-^ I'm not sure how to write it exactly... simpify: 8(squareroot5)+ 9(squareroot25)+ 11(squareroot20)

Algebra ->  Square-cubic-other-roots -> SOLUTION: Ok, last one for me today. ^-^ I'm not sure how to write it exactly... simpify: 8(squareroot5)+ 9(squareroot25)+ 11(squareroot20)      Log On


   

Question 143279: Ok, last one for me today. ^-^ I'm not sure how to write it exactly...
simpify:
8(squareroot5)+ 9(squareroot25)+ 11(squareroot20)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
8%2Asqrt%285%29%2B9%2Asqrt%2825%29%2B11%2Asqrt%2820%29 Start with the given expression


8%2Asqrt%285%29%2B9%2A5%2B11%2Asqrt%2820%29 Simplify sqrt%2825%29 to get 5.


8%2Asqrt%285%29%2B9%2A5%2B11%2A2%2Asqrt%285%29 Simplify sqrt%2820%29 to get 2%2Asqrt%285%29. Note: If you need help with simplifying square roots, check out this solver.


8%2Asqrt%285%29%2B45%2B11%2A2%2Asqrt%285%29 Multiply 9 and 5 to get 45.


8%2Asqrt%285%29%2B45%2B22%2Asqrt%285%29 Multiply 11 and 2 to get 22.


%288%2Asqrt%285%29%2B22%2Asqrt%285%29%29%2B45 Group like terms


sqrt%285%29%288%2B22%29%2B45 Factor out sqrt%285%29 from the first group


sqrt%285%29%2830%29%2B45 Combine like terms


45%2B30%2Asqrt%285%29 Rearrange the terms


So 8%2Asqrt%285%29%2B9%2Asqrt%2825%29%2B11%2Asqrt%2820%29 simplifies to 45%2B30%2Asqrt%285%29. In other words, 8%2Asqrt%285%29%2B9%2Asqrt%2825%29%2B11%2Asqrt%2820%29=45%2B30%2Asqrt%285%29